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Finding the Fourth Proportional to 281,506.73, 422,262.81 and 71,144.64

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Solution

The fourth proportional to 281,506.73, 422,262.81 and 71,144.64 is: 106,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,506.73 : 422,262.81 = 71,144.64 : x
  2. Step 2: Convert to fraction form
    281,506.73/422,262.81 = 71,144.64/x
  3. Step 3: Cross multiply
    281,506.73x = 422,262.81 × 71,144.64
  4. Step 4: Simplify right side
    281,506.73x = 30,041,735,602.84
  5. Step 5: Solve for x
    x = 30,041,735,602.84/281,506.73
  6. Step 6: Final answer
    x = 106,717.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.